Question

directions: a-c are parallelograms, d-f are rectang part, identify the answers from the back, and rec
a find $m\angle b$ and $m\angle c$.
$m\angle b =$
number:
$m\angle c =$
color:

Explanation:

Step1: Set angles equal (parallel sides)

$10x - 19 = 7x + 23$

Step2: Solve for x

$10x - 7x = 23 + 19$
$3x = 42$
$x = 14$

Step3: Calculate $m\angle B$

$m\angle B = 10(14) - 19 = 140 - 19 = 121$

Step4: Calculate $m\angle C$ (supplementary to $\angle B$)

$m\angle C = 180 - 121 = 59$

Answer:

$m\angle B = 121^\circ$
$m\angle C = 59^\circ$